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Simplifying 8 = -2(3p + -3) + 2(1 + 2p) Reorder the terms: 8 = -2(-3 + 3p) + 2(1 + 2p) 8 = (-3 * -2 + 3p * -2) + 2(1 + 2p) 8 = (6 + -6p) + 2(1 + 2p) 8 = 6 + -6p + (1 * 2 + 2p * 2) 8 = 6 + -6p + (2 + 4p) Reorder the terms: 8 = 6 + 2 + -6p + 4p Combine like terms: 6 + 2 = 8 8 = 8 + -6p + 4p Combine like terms: -6p + 4p = -2p 8 = 8 + -2p Add '-8' to each side of the equation. 8 + -8 = 8 + -8 + -2p Combine like terms: 8 + -8 = 0 0 = 8 + -8 + -2p Combine like terms: 8 + -8 = 0 0 = 0 + -2p 0 = -2p Solving 0 = -2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '2p' to each side of the equation. 0 + 2p = -2p + 2p Remove the zero: 2p = -2p + 2p Combine like terms: -2p + 2p = 0 2p = 0 Divide each side by '2'. p = 0 Simplifying p = 0
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